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Simplifying 5(z + 2) + -3z = -1(6z + -4) Reorder the terms: 5(2 + z) + -3z = -1(6z + -4) (2 * 5 + z * 5) + -3z = -1(6z + -4) (10 + 5z) + -3z = -1(6z + -4) Combine like terms: 5z + -3z = 2z 10 + 2z = -1(6z + -4) Reorder the terms: 10 + 2z = -1(-4 + 6z) 10 + 2z = (-4 * -1 + 6z * -1) 10 + 2z = (4 + -6z) Solving 10 + 2z = 4 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 10 + 2z + 6z = 4 + -6z + 6z Combine like terms: 2z + 6z = 8z 10 + 8z = 4 + -6z + 6z Combine like terms: -6z + 6z = 0 10 + 8z = 4 + 0 10 + 8z = 4 Add '-10' to each side of the equation. 10 + -10 + 8z = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 8z = 4 + -10 8z = 4 + -10 Combine like terms: 4 + -10 = -6 8z = -6 Divide each side by '8'. z = -0.75 Simplifying z = -0.75
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